Einstein's General Theory of Relativity
The book introduces the general theory of relativity and includes applications to cosmology. The book contains a thorough introduction to tensor calculus and curved manifolds. After the necessary mathematical tools are introduced, we give a thorough presentation of the theory of relativity. Also, some advanced topics not previously covered by textbooks; e.g. Kaluza-Klein theory, Israel's formalism and branes. Anisotropic cosmological models are also included.
The book contains a large number of new exercises and examples, each with separate headings. The reader will get an updated introduction to general relativity including the most recent developments in cosmology.
The book has over 200 pages with modern applications of the theory mostly in cosmologySeveral of these topics have been developed recently and are not present in other textbooksStandard model of cosmology discussed in detail as well as alternatives to the standard FRW cosmologyModern powerful techniques and tools some of which are indespensible for the modern researcher discussedTechniques then used on some alternative theories of gravity i.e. brane-worlds and other higher- dimensional theories